Top

Soft Computing

Published in:

19-04-2017 | Focus

Stable set of uncertain coalitional game with application to electricity suppliers problem

Authors: Yajuan Liu, Gang Liu

Published in: Soft Computing | Issue 17/2018

Activate our intelligent search to find suitable subject content or patents.

search-config

AI-assisted search

Off

Abstract

Coalitional game deals with the situation that involves cooperations among the players. When the payoffs are characterized by uncertain variables, classical coalitional game evolves to uncertain coalitional game. Some solutions of uncertain coalitional game have been proposed such as core and Shapley value. This paper goes further to present another concept of solution—stable set for uncertain coalitional game, and shows that the core is the subset of the stable set in an uncertain coalitional game. Finally, an electricity suppliers cooperation problem is analyzed by the stable set in uncertain coalitional game.

previous article Using machine learning and big data approaches to predict travel time based on historical and real-time data from Taiwan electronic toll collection

next article Portfolio selection model of oil projects under uncertain environment

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

über 102.000 Bücher
über 537 Zeitschriften

aus folgenden Fachgebieten:

Automobil + Motoren
Bauwesen + Immobilien
Business IT + Informatik
Elektrotechnik + Elektronik
Energie + Nachhaltigkeit
Finance + Banking
Management + Führung
Marketing + Vertrieb
Maschinenbau + Werkstoffe
Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

über 67.000 Bücher
über 340 Zeitschriften

aus folgenden Fachgebieten:

Bauwesen + Immobilien
Business IT + Informatik
Finance + Banking
Management + Führung
Marketing + Vertrieb
Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

über 67.000 Bücher
über 390 Zeitschriften

aus folgenden Fachgebieten:

Automobil + Motoren
Bauwesen + Immobilien
Business IT + Informatik
Elektrotechnik + Elektronik
Energie + Nachhaltigkeit
Maschinenbau + Werkstoffe

Jetzt Wissensvorsprung sichern!

inform now

Aubin JP (1981) Cooperative fuzzy games. Math Oper Res 6(1):1–13MathSciNetCrossRefMATH

Aumann R, Maschler M (1964) The bargaining set for cooperative games. Adv Game Theory 52:443–476MathSciNetMATH

Blau RA (1974) Random-payoff two-person zero-sum games. Oper Res 22(6):1243–1251MathSciNetCrossRefMATH

Cassidy RG, Field CA, Kirby M (1972) Solution of a satisficing model for random payoff games. Manag Sci 19:266–271MathSciNetCrossRefMATH

Charnes AC, Kirby M, Raike W (1968) Zero–zero chance-constrained games. Theory Probab Appl 13(4):628–646MathSciNetCrossRefMATH

Chen X, Gao J (2013) Uncertain term structure model of interest rate. Soft Comput 17(4):597–604CrossRefMATH

Gao J (2007) Credibilistic game with fuzzy information. J Uncertain Syst 1(1):74–80

Gao J (2013) Uncertain bimatrix game with application. Fuzzy Optim Decis Mak 12(1):65–78MathSciNetCrossRef

Gao R (2016) Milne method for solving uncertain differential equations. Appl Math Comput 274:774–785MathSciNet

Gao J, Yang X (2013) Credibilistic bimatrix game with asymmetric information and Bayesian optimistic equilibrium strategy. Int J Uncertain Fuzz 21(supp01):89–100MathSciNetCrossRefMATH

Gao J, Yu Y (2013) Credibilistic extensive game with fuzzy payoffs. Soft Comput 17(4):557–567CrossRefMATH

Gao J, Liu ZQ, Shen P (2009) On characterization of credibilistic equilibria of fuzzy-payoff two-player zero-sum game. Soft Comput 13(2):127–132CrossRefMATH

Gao J, Zhang Q, Shen P (2011) Coalitional game with fuzzy payoffs and credibilistic Shapley value. Iran J Fuzzy Syst 8(4):107–117MathSciNetMATH

Gao J, Yang X, Liu D (2016) Uncertain Shapley value of coalitional game with application to supply chain alliance. Appl Soft Comput. doi:10.1016/j.asoc.2016.06.018

Harsanyi JC (1995) Games with incomplete information. Am Econ Rev 85:291–303

Liang R, Yu Y, Gao J, Liu ZQ (2010) \(N\)-person credibilistic strategic game. Front Comput Sci China 4(2):212–219CrossRefMATH

Liu B (2007) Uncertainty theory, 2nd edn. Springer, BerlinMATH

Liu B (2010) Uncertainty theory: a branch of mathematics for modeling human uncertainty. Springer, BerlinCrossRef

Liu B (2013) Toward uncertain finance theory. J Uncertain Anal Appl 1

Liu B (2015) Uncertainty theory, 5th edn. Springer, BerlinMATH

Liu Y, Chen X, Ralescu DA (2015) Uncertain currency model and currency option pricing. Int J Intell Syst 30(1):40–51CrossRef

Osborne MJ, Rubinstein A (1994) A course in game theory. The MIT Press, LondonMATH

Schmeidler D (1969) The nucleolus of a characteristic function game. SIMA J Appl Math 17(6):1163–1170MathSciNetCrossRefMATH

Shapley LS, Shubik M (1954) A method for evaluating the distribution of power in committee system. Am Polit Sci Rev 48:787–792CrossRef

Shen P, Gao J (2011) Coalitional game with fuzzy information and credibilistic core. Soft Comput 15(4):781–786CrossRefMATH

von Neumann J, Morgenstern O (1944) The theory of games and economic behavior. Princeton University Press, PrincetonMATH

Wang X, Ning Y, Moughal TA, Chen X (2015) Adams–Simpson method for solving uncertain differential equation. Appl Math Comput 271:209–219MathSciNet

Yang X, Gao J (2013) Uncertain differential games with application to capitalism. J Uncertainty Anal Appl 1(Article 17)

Yang X, Gao J (2014) Uncertain core for coalitional game with uncertain payoffs. J Uncertain Syst 8(1):13–21

Yang X, Gao J (2016) Linear-quadratic uncertain differential game with application to resource extraction problem. IEEE Trans Fuzzy Syst 24(4):819–826CrossRef

Yang X, Gao J (2017) Bayesian equilibria for uncertain bimatrix game with asymmetric information. J Intell Manuf 28(3):515–525CrossRef

Yang X, Ralescu DA (2015) Adams method for solving uncertain differential equations. Appl Math Comput 270:993–1003MathSciNet

Yang X, Shen Y (2015) Runge-Kutta method for solving uncertain differential equations. J Uncertainty Anal Appl 3

Yang X, Yao K (2016) Uncertain partial differential equation with application to heat conduction. Fuzzy Optim Decis Mak. doi:10.1007/s10700-016-9253-9

Yao K (2016) Uncertain differential equations. Springer, BerlinCrossRefMATH

Zhu Y (2010) Uncertain optimal control with application to a portfolio selection model. Cybern Syst 41(7):535–547CrossRefMATH

Title: Stable set of uncertain coalitional game with application to electricity suppliers problem
Authors: Yajuan Liu
Gang Liu
Publication date: 19-04-2017
Publisher: Springer Berlin Heidelberg
Published in: Soft Computing / Issue 17/2018
Print ISSN: 1432-7643
Electronic ISSN: 1433-7479
DOI: https://doi.org/10.1007/s00500-017-2611-x

Springer Professional

Abstract

Please log in to get access to your license.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Springer Professional "Wirtschaft"

Springer Professional "Technik"

Other articles of this Issue 17/2018

A new method of level-2 uncertainty analysis in risk assessment based on uncertainty theory

Positioning–pricing problem of heterogeneous duopoly with uncertain consumer preferences

A new definition of cross-entropy for uncertain variables

Establishing the relationship matrix in QFD based on fuzzy regression models with optimized h values

Expected loss of uncertain random system

A modified teaching–learning-based optimization for optimal control of Volterra integral systems

Premium Partner